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代价敏感支持向量机      分类   支持向量机   代价       2007/8/27
Abstract以分类精度为目标的传统分类算法通常假定:每个样本的误分类具有同样的代价且每类样本数大致相等.但现实数据挖掘中该假定不成立时,这些算法的直接应用不能取得理想的分类和预测.针对此缺隙,并基于标准的SVM,通过在SVM的设计中集成样本的不同误分类代价,提出代价敏感支持向量机(CS-SVM)的设计方法.实验结果表明CS-SVM是有效的.
Abstract针对所有样本点均出现在最小二乘支持向量机模型中的缺陷,提出一种改进的最小二乘支持向量机回归方法.根据最小二乘支持向量机模型学习误差的大小,去除原变量空间中大部分误差较小的样本点,从而获得回归模型的“稀疏”特性,大大简化了模型复杂程度.同时,将此方法应用于生物发酵过程,建立青霉素发酵过程中产物浓度的软测量模型,实现青霉素浓度的在线预估.实验结果表明,该方法为生物发酵过程中难于在线测量...
Abstract提出一种基于最大熵估计的支持向量机概率建模方法.针对传统的支持向量机方法不能提供后验概率的输出问题, 从信息熵的角度采用最大熵估计方法,直接对支持向量机输出进行后验概率建模.实验结果表明, 与同类算法相比, 所提出的基于最大熵估计的概率建模方法具有优良的性能.
本文研究拓扑向量空间广义锥-次类凸映射向量优化问题的鞍点最优性条件和Lagrange对偶问题,建立向量优化问题的Fritz John鞍点和Kuhn-Tucker鞍点的最优性条件及其与向量优化问题的有效解和弱有效解之间的联系. 通过对偶问题和向量优化问题的标量化刻画各解之间的关系, 给出目标映射是广义锥-次类凸的向量优化问题在其约束映射满足广义Slater约束规格的条件下的对偶定理.
本文揭示了一个事实,小波不仅可构成L2空间中的正交基,小波分解与重构滤波还可产生N维空间中的正交基.在本文提出修改的小波变换算法之下,N点信号的小波变换等价于N维空间中的正交变换.用该算法进行信号或图象压缩,无需对信号或图象进行周期延拓,可严格地在N维空间中进行.
We classify P-Sasakian manifolds, which satisfy the conditions Z(x ,X) · Z = 0, Z(x ,X) · R = 0, R(x ,X) · Z = 0, Z(x ,X) · S = 0 and Z(x ,X) · C = 0.
The object of the present paper is to study the geometry of trans-Sasakian manifold when it is projectively semi-symmetric, Weyl semi-symmetric and concircularly semi-symmetric.
The purpose of this paper is to investigate the solutions of refinement equations of the form'(x) = X®2Zs a(®)'(Mx ¡ ®); x 2 Rs; where the vector of functions ' = ('1; :::; 'r)T is...
We define new special curves in Euclidean 3-space which we call slant helices and conical geodesic curves. Those notions are generalizations of the notion of cylindrical helices. One of the results in...
The purpose of the present paper is to study, using the Tachibana operator, the complete lifts of affinor structures along a pure cross-section of the tensor bundle and to investigate their transfers....
We introduce the notion of modular symmetry classes of tensors and give a necessary and sufficient condition for a modular symmetry class of tensors associated with the full symmetric group to be non-...
For a locally compact group G, let S(G) be a symmetric Segal algebra. We prove that S(G) is an ideal in its second dual space if and only if G is compact, where the second dual is equipped with an Are...
The main purpose of the present paper is to study geodesics in a tensor bundle Tpq(Mn) with respect to the horizontal lift H\nabla of an affine connection \nabla .
It is proved that: If X is a paracompact Hausdorff space and E is a Frechet lattice then (X, E) has the separation property. This is employed to extend some varies of functions that are known for spac...
This paper is devoted to the study of the properties of eigenvalues and eigenvectors of quadratic pencil l2C - lR - J , where C is a positive diagonal matrix, R is an arbitrary real diagonal matrix, J...

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